SCENARIO 11-12
The marketing manager of a company producing a new cereal aimed for children wants to examine the effect of the color and shape of the box's logo on the approval rating of the cereal. He combined 4 colors and 3 shapes to produce a total of 12 designs. Each logo was presented to 2 different groups (a total of 24 groups) and the approval rating for each was recorded and is shown below. The manager analyzed these data using the α = 0.05 level of significance for all inferences.

-Referring to Scenario 11-11,interpret the test for interaction.
A)There is insufficient evidence to say at the 0.10 level of significance that the difference between the mean charges for foreign and USA graduates depends on primary specialty.
B)There is sufficient evidence to say at the 0.10 level of significance that the difference between the mean charges for foreign and USA graduates depends on primary specialty.
C)There is sufficient evidence at the 0.10 level of significance of a difference between the mean charges for foreign and USA medical graduates.
D)There is sufficient evidence to say at the 0.10 level of significance that mean charges depend on both primary specialty and medical school.

Question

SCENARIO 11-12
The marketing manager of a company producing a new cereal aimed for children wants to examine the effect of the color and shape of the box's logo on the approval rating of the cereal. He combined 4 colors and 3 shapes to produce a total of 12 designs. Each logo was presented to 2 different groups (a total of 24 groups) and the approval rating for each was recorded and is shown below. The manager analyzed these data using the α = 0.05 level of significance for all inferences.

-Referring to Scenario 11-11,interpret the test for interaction.
A)There is insufficient evidence to say at the 0.10 level of significance that the difference between the mean charges for foreign and USA graduates depends on primary specialty. 
B)There is sufficient evidence to say at the 0.10 level of significance that the difference between the mean charges for foreign and USA graduates depends on primary specialty. 
C)There is sufficient evidence at the 0.10 level of significance of a difference between the mean charges for foreign and USA medical graduates. 
D)There is sufficient evidence to say at the 0.10 level of significance that mean charges depend on both primary specialty and medical school.

Quizplus · Accepted Answer

The test for interaction examines whether the effect of one factor (e.g., graduate origin) on the response variable (e.g., charges) depends on the level of another factor (e.g., primary specialty). Choice A indicates that there is insufficient evidence to conclude that such an interaction exists at the 0.10 significance level.

SCENARIO 11-12 The Marketing Manager of a Company Producing a New Cereal